Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/753, 7233/2953 quickly i.e. 658203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/753, 7233/2953 is 658203.
LCM(91/753, 7233/2953) = 658203
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/753,7233/2953
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 91,7233
Least Common Multiple of Numerators i.e. LCM of 91,7233 is 658203.
GCF of Denominators means GCF of 753,2953 as per the given fractions.
GCF of 753,2953 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,7233
Given numbers has no common factors except 1. So, there LCM is their product i.e 658203
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 91,7233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,7233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,7233) x common factors =1 x 1 = 1
LCM(91,7233) = ( 91 × 7233 ) / 1
LCM(91,7233) = 658203 / 1
LCM(91,7233) = 658203
Lets's calculate GCF of 753,2953
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 658203/1
Therefore the LCM of Fractions 91/753,7233/2953 is 658203
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 2953
List of positive integer factors of 2953 that divides 2953 without a remainder.
1,2953
Greatest Common Factor
We found the factors 753,2953 . The biggest common factor number is the GCF number.
So the greatest common factor 753,2953 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 91/753, 7233/2953?
Answer: LCM of Numerators as per given numbers 91/753, 7233/2953 is
LCM of Numerators i.e. for 91,7233 is 658203
GCF of denominators i.e. for 753,2953 is 1.
Thus, LCM of Fractions is 658203.Finally, LCM of Fractions for 91/753, 7233/2953 is 658203.